Pith Number

pith:A6ZAOMWA

pith:2013:A6ZAOMWARDBATQT4OSIEYSBZNY

not attested not anchored not stored refs pending

The Ranks of the Additive Semigroup Reduct of Affine Near-Semiring over Brandt Semigroup

Jitender Kumar, K. V. Krishna

arxiv:1308.4087 v1 · 2013-08-19 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6ZAOMWARDBATQT4OSIEYSBZNY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:15:34.886212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07b20732c088c209c27c74904c48396e2453789f7f9fb63bf4d835330ae84bd1

Aliases

arxiv: 1308.4087 · arxiv_version: 1308.4087v1 · doi: 10.48550/arxiv.1308.4087 · pith_short_12: A6ZAOMWARDBA · pith_short_16: A6ZAOMWARDBATQT4 · pith_short_8: A6ZAOMWA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/A6ZAOMWARDBATQT4OSIEYSBZNY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 07b20732c088c209c27c74904c48396e2453789f7f9fb63bf4d835330ae84bd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b9a025f450dc7e8b40451f983a01ee91cb803a86377aea241265aaf03be0f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-08-19T18:07:18Z",
    "title_canon_sha256": "63ce3eb8d473c39a93e8b8c2123973aed1e2935d21e5a1d32e20bed6daaefe70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4087",
    "kind": "arxiv",
    "version": 1
  }
}